16 A piece of cloth costs Birr 200. If the piece was 5 m longer, and the cost of each
metre of cloth was Birr 2 less, the cost of the piece would have remained
unchanged. How long is the piece and what is its original price per metre?
Bin 6,500 were divided equally among a certain number of persons. Had there
been 15 more persons, each would have got Birr 30 less. Find the original number
of persons.
A person on tour has Birr 360 for his daily expenses. If he extends his tour for 4
days, he has to cut down his daily expense by Birr 3. Find the original duration of
the tour
the sum of their
he squares.
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average
speed for the trip was reduced to 200 km/hr and the time increased by 30 minutes.
Find the duration of the flight,
153
9/ An express train makes a run of 240 km at a certain speed. Another train whose
speed is 12 km/hr less takes an hour longer to cover the same distance. Find the
speed of the express train in km/hr.
24​

For the following equations, find the ratio of a to b. be sure to show all of your work. a. 3a = 6b b. 15a = 5b

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)

Write a function rule for  “the output is  5 less than the input.” let  xx  be the input and let  yy  be the output.